On the initial-boundary value problems
for a degenerate parabolic equation

Jan Goncerzewicz

doi:10.4064/bc81-0-13

Instytut Matematyczny Polskiej Akademii Nauk / pl / Wydawnictwa / Banach Center Publications / Wszystkie tomy

On the initial-boundary value problems for a degenerate parabolic equation

Tom 81 / 2008

Jan Goncerzewicz Banach Center Publications 81 (2008), 197-211 MSC: Primary 35K65; Secondary 35K60. DOI: 10.4064/bc81-0-13

Streszczenie

For an equation of the type of porous media equation the Cauchy–Dirichlet and Cauchy–Neumann problems are considered. The existence and uniqueness results in the case of $L^{\infty}$ initial and boundary data are given.

Autorzy

Jan GoncerzewiczInstitute of Mathematics and Computer Science
Wroc/law University of Technology
Janiszewskiego 14a
50-372 Wroc/law, Poland
e-mail

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